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The following results are from data that were collected from the various high schools around the county. The dependent variable is % OF STUDENTS GOING TO COLLEGE, and the independent variables are: AVERAGE CLASS SIZE, COMBINED SAT SCORES, SPENDING PER STUDENT, AVERAGE TEACHER SALARY, AND % TAKING THE SAT Since the 3 variables AVERAGE CLASS SIZE, SPENDING PER STUDENT, AND AVERAGE TEACHER SALARY are each not significant at the 10% level of significance individually, in order to test to see if as a group they are significant the 3 variables are excluded and another regression is run. The results are as follows: a) At the 10% level of significance, test whether as a group AVERAGE CLASS SIZE, SPENDING PER STUDENT, AND AVERAGE TEACHER SALARY are significant. Be sure to state the null and alternative hypotheses for this hypothesis test.

The following results are from data that were collected from the various high schools around the county. The dependent variable is % OF STUDENTS GOING TO COLLEGE, and the independent variables are: AVERAGE CLASS SIZE, COMBINED SAT SCORES, SPENDING PER STUDENT, AVERAGE TEACHER SALARY, AND % TAKING THE SAT Since the 3 variables AVERAGE CLASS SIZE, SPENDING PER STUDENT, AND AVERAGE TEACHER SALARY are each not significant at the 10% level of significance individually, in order to test to see if as a group they are significant the 3 variables are excluded and another regression is run. The results are as follows: a) At the 10% level of significance, test whether as a group AVERAGE CLASS SIZE, SPENDING PER STUDENT, AND AVERAGE TEACHER SALARY are significant. Be sure to state the null and alternative hypotheses for this hypothesis test.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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8) The following results are from data that were collected from the various high schools around the county. The dependent variable is % OF STUDENTS GOING TO COLLEGE, and the independent variables are: AVERAGE CLASS SIZE, COMBINED SAT SCORES, SPENDING PER STUDENT, AVERAGE TEACHER SALARY, AND % TAKING THE SAT Since the 3 variables AVERAGE CLASS SIZE, SPENDING PER STUDENT, AND AVERAGE TEACHER SALARY are each not significant at the 10% level of significance individually, in order to test to see if as a group they are significant the 3 variables are excluded and another regression is run. The results are as follows: a) At the 10% level of significance, test whether as a group AVERAGE CLASS SIZE, SPENDING PER STUDENT, AND AVERAGE TEACHER SALARY are significant. Be sure to state the null and alternative hypotheses for this hypothesis test.
8) The following results are from data that were collected from the various high schools around the county. The dependent variable is % OF STUDENTS GOING TO COLLEGE, and the independent variables are: AVERAGE CLASS SIZE, COMBINED SAT SCORES, SPENDING PER STUDENT, AVERAGE TEACHER SALARY, AND % TAKING THE SAT SUMMARY OUTPUT Regression Statistics Multiple R 0.772 R Square 0.596 Adjusted R Square 0.428 Standard Error 11.22 Observations 18 ANOVA df F Significance F SS MS Regression 2232.7 446.54 3.55 0.034 Residual 12 1510.4 125.87 Total 17 3743.1 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% 33.71 63.28 0.53 0.60 -104.16 171.58 Intercept -1.55765 1.09014 -1.42885 0.17856 -3.93287 0.81756 Average Class Size 0.07689 0.03737 2.05735 0.06206 -0.00454 0.15831 Combined SAT Score -0.00243 0.00166 -1.46611 0.16833 -0.00603 0.00118 Spending Per Student ($) -0.00026 0.00064 -0.40451 0.69296 -0.00165 0.00113 Average Teacher Salary ($) 0.28520 0.11545 2.47044 0.02947 0.03367 0.53673 % Taking SAT
Transcribed Image Text:8) The following results are from data that were collected from the various high schools around the county. The dependent variable is % OF STUDENTS GOING TO COLLEGE, and the independent variables are: AVERAGE CLASS SIZE, COMBINED SAT SCORES, SPENDING PER STUDENT, AVERAGE TEACHER SALARY, AND % TAKING THE SAT SUMMARY OUTPUT Regression Statistics Multiple R 0.772 R Square 0.596 Adjusted R Square 0.428 Standard Error 11.22 Observations 18 ANOVA df F Significance F SS MS Regression 2232.7 446.54 3.55 0.034 Residual 12 1510.4 125.87 Total 17 3743.1 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% 33.71 63.28 0.53 0.60 -104.16 171.58 Intercept -1.55765 1.09014 -1.42885 0.17856 -3.93287 0.81756 Average Class Size 0.07689 0.03737 2.05735 0.06206 -0.00454 0.15831 Combined SAT Score -0.00243 0.00166 -1.46611 0.16833 -0.00603 0.00118 Spending Per Student ($) -0.00026 0.00064 -0.40451 0.69296 -0.00165 0.00113 Average Teacher Salary ($) 0.28520 0.11545 2.47044 0.02947 0.03367 0.53673 % Taking SAT
Since the 3 variables AVERAGE CLASS SIZE, SPENDING PER STUDENT, AND AVERAGE TEACHER SALARY are each not significant at the 10% level of significance individually, in order to test to see if as a group they are significant the 3 variables are excluded and another regression is run. The results are as follows: SUMMARY OUTPUT Regression Statistics Multiple R 0.685 R Square 0.469 Adjusted R Square 0.399 Standard Error 11.51 Observations 18 ANOVA df SS MS Significance F F Regression 1756.7 878.4 6.63 0.0086 Residual 15 1986.4 132.4 Total 17 3743.1 P- Coefficients Standard Error t Stat value Lower 95% Upper 95% Intercept -26.93 33.39 -0.81 0.43 -98.10 44.24 Combined SAT Score 0.0838 0.0340 2.4623 0.0264 0.0113 0.1563 % Taking SAT 0.2045 0.0926 2.2085 0.0432 0.0071 0.4018
Transcribed Image Text:Since the 3 variables AVERAGE CLASS SIZE, SPENDING PER STUDENT, AND AVERAGE TEACHER SALARY are each not significant at the 10% level of significance individually, in order to test to see if as a group they are significant the 3 variables are excluded and another regression is run. The results are as follows: SUMMARY OUTPUT Regression Statistics Multiple R 0.685 R Square 0.469 Adjusted R Square 0.399 Standard Error 11.51 Observations 18 ANOVA df SS MS Significance F F Regression 1756.7 878.4 6.63 0.0086 Residual 15 1986.4 132.4 Total 17 3743.1 P- Coefficients Standard Error t Stat value Lower 95% Upper 95% Intercept -26.93 33.39 -0.81 0.43 -98.10 44.24 Combined SAT Score 0.0838 0.0340 2.4623 0.0264 0.0113 0.1563 % Taking SAT 0.2045 0.0926 2.2085 0.0432 0.0071 0.4018
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